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Vibration Analysis of the Continuous Circular Cylindrical Shell with the Clamped-clamped Supports at Two End Edges

양단이 고정지지된 연속원통셸의 진동특성 해석

  • 한창환 (한국항공우주연구원 소형기연구그룹) ;
  • 이영신 (충남대학교 기계설계공학과)
  • Published : 2002.02.01

Abstract

The continuous circular cylindrical shells are widely used for the high performance structures of aircraft, spacecraft, missile, nuclear fuel rod shell and so on. In this paper, a method for the vibrational analysis of the continuous circular cylindrical shells with the clamped-clamped supports at two end edges is developed by using the modal expansion method. Forces and/or moments acting on the shell surface are expressed in terms of the Dirac Delta Function. Frequency equation of the continuous shell is also derided by the application of the equilibrium of forces and the continuity of displacements at the boundary. Natural frequencies of the continuous shell are calculated numerically with mathematica 3.0 and they are compared with FEM results from the ANSYS 5.3 to improve the reliability of analytic solutions. Mode shares obtained by the FEM are Presented in this paper.

Keywords

References

  1. Journals of Sound and Vibration v.190 no.1 Free and Forced Vibration of a Cylindrical Shell with a Floor Partition Missaoui J.;Cheng L.
  2. Journal of Sound and Vibration v.101 no.2 National Frequencies of Circular Cylindrical Shell with Longitudinal Exterior Plates Irie T.;Yamada G.;Kobayashi Y. https://doi.org/10.1016/S0022-460X(85)81219-0
  3. 한국소음진동공학회지 v.9 no.1 내부판 구조물이 결합된 강 및 평직 복합재료 원통셀의 구조진동 특성연구 이영신;최명환
  4. 추계학술대회논문집 외부에 사각판이 결합된 원통셀의 자유진동해석 한창환;이영신
  5. Journal of Applied Mathmatics and Mechanics v.39 Frequency spectra and mode of free vibration of doubly periodic systems Moskalenko V. N. https://doi.org/10.1016/0021-8928(75)90018-0
  6. Journal of Sound and Vibration v.93 no.1 The receptance method applied to the free vibration of continous rectangular plates Azimi S.;Hamilton J. F.;Soedel W. https://doi.org/10.1016/0022-460X(84)90348-1
  7. Journal of Sound and Vibration v.163 no.3 Natural frequencies and moed shapes of a circular plate welded to a circular cylindrical shell at arbitrary axial positions Huang D. T.;Soedel W.
  8. Journal of Sound and Vibration v.213 no.1 Free vibration of Clamped-free circular cylindrical shell with a plate attached at an arbitrary axial position Yim J. S.;Sohn D. S.;Lee Y. S. https://doi.org/10.1006/jsvi.1997.1498
  9. Vibration of shells and plates(2nd ed.) Soedel W.
  10. Formulas for natural frequency and mode shape Blevins R. D.
  11. 한국소음진동공학회지 v.10 no.6 동적응답법을 이용한 다점 단순지지된 원속원통셀의 자유진동해석 이영신;한창환
  12. Journal of Sound and Vibration v.109 no.1 Natural frequencies and modes shape of cylindrical polygonal ducts using receptance methods Azimi S.;Hamilton J. F.;Soedel W. https://doi.org/10.1016/S0022-460X(86)80023-2
  13. Journal of Sound and Vibration v.166 no.2 Study of the forced vibration of shell-plate combinations using the receptance method Huang D. T.;Soedel W. https://doi.org/10.1006/jsvi.1993.1300
  14. Vibration of Shell Leissa A. W.